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# Which of the following points is on the line 3x + 4y = 5?

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Which of the following points is on the line 3x + 4y = 5?  [#permalink]

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08 Mar 2019, 01:18
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:33) correct 8% (01:22) wrong based on 37 sessions

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Which of the following points is on the line 3x + 4y = 5 ?

A. (1,2)
B. (-1,2)
C. (2,1)
D. (2,-1)
E. (3,0)

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3092
Re: Which of the following points is on the line 3x + 4y = 5?  [#permalink]

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08 Mar 2019, 01:28

Solution

Given:
• The equation of a given line is 3x + 4y = 5

To find:
• Among the given option choices, which point lies in the given line

Approach and Working:
If a point lies on a given line, then the coordinates of the point will satisfy the equation of the line.

Checking with the given options,
• For the point (1, 2), 3x + 4y = 3 x 1 + 4 x 2 = 3 + 8 = 11
• For the point (-1, 2), 3x + 4y = 3 x -1 + 4 x 2 = -3 + 8 = 5 (Satisfies)
• For the point (2, 1), 3x + 4y = 3 x 2 + 4 x 1 = 6 + 4 = 10
• For the point (2, -1), 3x + 4y = 3 x 2 + 4 x -1 = 6 – 4 = 2
• For the point (3, 0), 3x + 4y = 3 x 3 + 4 x 0 = 9 + 0 = 9

Hence, the correct answer is option B.

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Re: Which of the following points is on the line 3x + 4y = 5?   [#permalink] 08 Mar 2019, 01:28
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